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  Partner: UNT Libraries
 Department: Department of Mathematics
 Decade: 1950-1959
 Year: 1951
 Collection: UNT Theses and Dissertations
The Analytical Development of the Trigonometric Functions

The Analytical Development of the Trigonometric Functions

Date: 1951
Creator: Mackey, Pearl Cherrington
Description: This thesis is a study of the analytical development of the trigonometric functions.
Contributing Partner: UNT Libraries
The Development of the Natural Numbers by Means of the Peano Postulates

The Development of the Natural Numbers by Means of the Peano Postulates

Date: 1951
Creator: Baugh, Orvil Lee
Description: This thesis covers the development of the natural numbers by means of the peano postulates.
Contributing Partner: UNT Libraries
Means and Mean Value Theorems

Means and Mean Value Theorems

Date: 1951
Creator: Blummer, Raymond O.
Description: This study covers means, mean value theorems of the differential calculus, and mean value theorems of integral calculus.
Contributing Partner: UNT Libraries
On Uniform Convergence

On Uniform Convergence

Date: 1951
Creator: Drew, Dan Dale
Description: In this paper, we will be concerned primarily with series of functions and a particular type of convergence which will be described. The purpose of this paper is to familiarize the reader with the concept of uniform convergence. In the main it is a compilation of material found in various references and revised to conform to standard notation.
Contributing Partner: UNT Libraries
Some Properties of a Lebesgue-Stieltjes Integral

Some Properties of a Lebesgue-Stieltjes Integral

Date: 1951
Creator: Dean, Lura C.
Description: It is the purpose of this paper to define a Lebesgue integral over a measurable set, the integration being performed with respect to a monotone non-decreasing function as in the Stieltjes integral, and to develop a few of the fundamental properties of such an integral.
Contributing Partner: UNT Libraries
Some Properties of Derivatives

Some Properties of Derivatives

Date: 1951
Creator: Dibben, Philip W.
Description: This paper is concerned with certain properties of derivatives and some characterizations of linear point sets with derivatives. In 1946, Zygmunt Zahorski published a letter on this topic listing a number of theorems without proof, and no proof of these assertions has been published. Some of the theorems presented here are paraphrases of Zahorski's statements, developed in a slightly different order.
Contributing Partner: UNT Libraries